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Gyroscopes, spin, momentum and energy.
1. Gyroscope: Precession, nutation, spin.
Conservation of momentum and energy.
Gyroscope: Problem statement
(.pdf)
In terms of angles
θ,
φ, and angular rate ω
c
Interactive (fill-in blanks)
MotionGenesis commands
Program responses
In terms of angular velocity
variables
ω
x
, ω
y
, ω
z
(efficient)
MotionGenesis commands
Program responses
θ vs. time
φ vs. time
2. Ice-skater
(angular momentum - dynamicist on turntable)
Problem statement:
Student
(.pdf)
Instructor
(.pdf)
Forces and motion with MotionGenesis™
Dynamics:
MotionGenesis commands
Program responses
3. Dynamicist on turntable with spinning bicycle wheel
(gyro)
Problem statement:
Student
(.pdf)
Instructor
(.pdf)
Forces and motion with MotionGenesis™
Dynamics:
MotionGenesis commands
Program responses
4. Gyrostat spin stability
Gyrostat spin stability: Problem statement
(.pdf)
Kane's method:
MotionGenesis commands
Program responses
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